We distinguish between discrete and continuous random variables by noting whether the number of possible values is countable or uncountable.

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This statement is true. A random variable is said to be discrete if it can take on a countable number of values (such as the outcomes of rolling a fair six-sided die), while a continuous random variable can take on any value within a range (such as the amount of rainfall in a given area over a year).

We Distinguish Between Discrete and Continuous Random Variables by Noting